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12245172456 = 2331167692287
BaseRepresentation
bin10110110011101111…
…01000000011101000
31011121101110012201210
423121313220003220
5200034231004311
65343024313120
7612306151146
oct133167500350
934541405653
1012245172456
115214098340
122458a727a0
131201ba6a9a
148423dc596
154ba04e3a6
hex2d9de80e8

12245172456 has 64 divisors (see below), whose sum is σ = 33894420480. Its totient is φ = 3655270080.

The previous prime is 12245172419. The next prime is 12245172481. The reversal of 12245172456 is 65427154221.

12245172456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328456 + ... + 363831.

It is an arithmetic number, because the mean of its divisors is an integer number (529600320).

Almost surely, 212245172456 is an apocalyptic number.

It is an amenable number.

12245172456 is an abundant number, since it is smaller than the sum of its proper divisors (21649248024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12245172456 is a wasteful number, since it uses less digits than its factorization.

12245172456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692374 (or 692370 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The spelling of 12245172456 in words is "twelve billion, two hundred forty-five million, one hundred seventy-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1474 1608 2211 2948 4422 5896 8844 17688 692287 1384574 2076861 2769148 4153722 5538296 7615157 8307444 15230314 16614888 22845471 30460628 45690942 46383229 60921256 91381884 92766458 139149687 182763768 185532916 278299374 371065832 510215519 556598748 1020431038 1113197496 1530646557 2040862076 3061293114 4081724152 6122586228 12245172456